Some people, especially young people (when pregnancy would be a really bad thing) use condoms with their birth control. It will make your protection slightly higher.
It's not necessary, though, as long as you are using the ring correctly.
However, it is a good idea to keep condoms on hand in case you need them- for example, if you are on antibiotics, you should use condoms, or if you're having sex with someone new and you need protection from STD's. I'm married and on the pill but we use condoms from time to time if I miss a pill or throw up or anything like that.
But it's up to you and what you're comfortable with. It's certainly not stupid to use both, it's smart of you to be protecting yourself.